Physics 9702 · AS & A Level · Resistance and resistivity

Resistance and resistivity — practice question

The resistance $R$ of a uniform metal wire is measured for several different values of the wire length $l$. The way $R$ changes with $l$ is plotted in Fig. 3.1.
(a)[1]

The points plotted in Fig. 3.1 are not exactly on the best-fit line. Suggest a reason for this.

(b)[2]

Determine the gradient of the line in Fig. 3.1.

(c)[3]

The wire has a cross-sectional area of $0.12\,\text{mm}^2$. Use your answer in (b) to find the resistivity of the metal in the wire.

(d)[2]

The resistance $R$ of a set of wires is measured. Each wire is made of the same metal and has the same length, but the cross-sectional area $A$ is different for each one. On Fig. 3.2, sketch a graph to show how $R$ varies with $A$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: random error (in the measurements) of the length or resistance

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